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Finding the Third Proportional to 6,414.75 and 7,427.25

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Solution

The third proportional to 6,414.75 and 7,427.25 is: 8,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.75 : 7,427.25 = 7,427.25 : x
  2. Step 2: Convert to fraction form
    6,414.75/7,427.25 = 7,427.25/x
  3. Step 3: Cross multiply
    6,414.75x = 7,427.25 × 7,427.25
  4. Step 4: Simplify right side
    6,414.75x = 55,164,042.56
  5. Step 5: Solve for x
    x = 55,164,042.56/6,414.75
  6. Step 6: Final answer
    x = 8,599.56

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.